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Finding the Third Proportional to 78,469 and 120,061.50

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Solution

The third proportional to 78,469 and 120,061.50 is: 183,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469 : 120,061.50 = 120,061.50 : x
  2. Step 2: Convert to fraction form
    78,469/120,061.50 = 120,061.50/x
  3. Step 3: Cross multiply
    78,469x = 120,061.50 × 120,061.50
  4. Step 4: Simplify right side
    78,469x = 14,414,763,782.25
  5. Step 5: Solve for x
    x = 14,414,763,782.25/78,469
  6. Step 6: Final answer
    x = 183,700.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.